The Swiss mathematician Leonhard Euler demonstrated two and half centuries ago that the series...
... diverges, so that diverges also the product...
Kind regards
@chisigma thanks for the help! however I am still a bit unsure on how the divergence of the sum implies that the product also diverges?
@FernandoRevilla cheers for that! I haven't seen that formula yet, nor can I find it in my notes, however im very interested, can you perhaps show me a proof of how the formula comes about?
thanks again!
In...
Convergence of Infinite Products « The Everything Seminar
... there is the proof of the following theorem: an 'infinite product' of the form...
... converges if and only if the 'infinite sum'...
... converges...
Kind regards